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Finding the Fourth Proportional to 463,770.40, 695,137.20 and 197,485.60

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Solution

The fourth proportional to 463,770.40, 695,137.20 and 197,485.60 is: 296,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,770.40 : 695,137.20 = 197,485.60 : x
  2. Step 2: Convert to fraction form
    463,770.40/695,137.20 = 197,485.60/x
  3. Step 3: Cross multiply
    463,770.40x = 695,137.20 × 197,485.60
  4. Step 4: Simplify right side
    463,770.40x = 137,279,587,024.32
  5. Step 5: Solve for x
    x = 137,279,587,024.32/463,770.40
  6. Step 6: Final answer
    x = 296,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.